“给予某人深刻印象”常见的英语表达有：make a deep/strong/lasting impression on sb. 或者 impress sb. deeply/strongly/greatly。
His kindness made a deep impression on me.（他的善良给我留下了深刻的印象。）
The beautiful scenery in the mountains impressed us greatly.（山里的美景让我们印象深刻 。）